PPT: Exponents and Powers | Mathematics (Maths) Class 7 PDF Download

 Page 1


EXPONENTS
AND POWERS
Page 2


EXPONENTS
AND POWERS
a²
exponent
base number
The exponent of a number tells us how many times a
base number is multiplied by itself.
What is an exponent?
This tells us that a is multiplied
by itself two times.
So, a² means a x a
Page 3


EXPONENTS
AND POWERS
a²
exponent
base number
The exponent of a number tells us how many times a
base number is multiplied by itself.
What is an exponent?
This tells us that a is multiplied
by itself two times.
So, a² means a x a
LAWS OF EXPONENTS
Multiplying Powers with the Same Base:
a ? × a n = a ? ? n
If we have two numbers with the same base and different
exponents, and we're multiplying them, we just add their
exponents.
35 × 3? = 35 ?? = 3¹4
Page 4


EXPONENTS
AND POWERS
a²
exponent
base number
The exponent of a number tells us how many times a
base number is multiplied by itself.
What is an exponent?
This tells us that a is multiplied
by itself two times.
So, a² means a x a
LAWS OF EXPONENTS
Multiplying Powers with the Same Base:
a ? × a n = a ? ? n
If we have two numbers with the same base and different
exponents, and we're multiplying them, we just add their
exponents.
35 × 3? = 35 ?? = 3¹4
LAWS OF EXPONENTS
Dividing Powers with the Same Base:
a ? ÷ a n = a ? ? n
In general, for any non-zero integer a, 
where m and n are whole numbers and m > n.
3? ÷ 35 = 3? ?5 = 34
Page 5


EXPONENTS
AND POWERS
a²
exponent
base number
The exponent of a number tells us how many times a
base number is multiplied by itself.
What is an exponent?
This tells us that a is multiplied
by itself two times.
So, a² means a x a
LAWS OF EXPONENTS
Multiplying Powers with the Same Base:
a ? × a n = a ? ? n
If we have two numbers with the same base and different
exponents, and we're multiplying them, we just add their
exponents.
35 × 3? = 35 ?? = 3¹4
LAWS OF EXPONENTS
Dividing Powers with the Same Base:
a ? ÷ a n = a ? ? n
In general, for any non-zero integer a, 
where m and n are whole numbers and m > n.
3? ÷ 35 = 3? ?5 = 34
LAWS OF EXPONENTS
Taking Power of a Power:
(a ?) n  = a ? n
When our exponent itself has an exponent, we just
multiply those two exponents together.
(35)? = 35 ? = 345
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